What is the Greatest Common Factor of 59136 and 59150?

Greatest common factor (GCF) of 59136 and 59150 is 14.

GCF(59136,59150) = 14

We will now calculate the prime factors of 59136 and 59150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59136 and 59150.

How to find the GCF of 59136 and 59150?

We will first find the prime factorization of 59136 and 59150. After we will calculate the factors of 59136 and 59150 and find the biggest common factor number .

Step-1: Prime Factorization of 59136

Prime factors of 59136 are 2, 3, 7, 11. Prime factorization of 59136 in exponential form is:

59136 = 2⁸ × 3¹ × 7¹ × 11¹

Step-2: Prime Factorization of 59150

Prime factors of 59150 are 2, 5, 7, 13. Prime factorization of 59150 in exponential form is:

59150 = 2¹ × 5² × 7¹ × 13²

Step-3: Factors of 59136

List of positive integer factors of 59136 that divides 59136 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 56, 64, 66, 77, 84, 88, 96, 112, 128, 132, 154, 168, 176, 192, 224, 231, 256, 264, 308, 336, 352, 384, 448, 462, 528, 616, 672, 704, 768, 896, 924, 1056, 1232, 1344, 1408, 1792, 1848, 2112, 2464, 2688, 2816, 3696, 4224, 4928, 5376, 7392, 8448, 9856, 14784, 19712, 29568

Step-4: Factors of 59150

List of positive integer factors of 59150 that divides 59136 without a remainder.

1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 169, 175, 182, 325, 338, 350, 455, 650, 845, 910, 1183, 1690, 2275, 2366, 4225, 4550, 5915, 8450, 11830, 29575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59136 and 59150. The biggest common factor number is the GCF number.
So the greatest common factor 59136 and 59150 is 14.

Also check out the Least Common Multiple of 59136 and 59150